Precise Arrhenius law for p-forms: The Witten Laplacian and Morse-Barannikov complex

Details Precise Arrhenius law for p-forms: The Witten Laplacian and Morse-Barannikov complex Precise Arrhenius law for p-forms: The Witten Laplacian and Morse-Barannikov complex

2011-05-30

arxiv.org/abs/1105.6007v1

Mathematics

Analysis of PDEs

Scientific paper

Accurate asymptotic expressions are given for the exponentially small
eigenvalues of Witten Laplacians acting on p-forms. The key ingredient, which
replaces explicit formulas for global quasimodes in the case p = 0, is
Barannikov's presentation of Morse theory.

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